Write the given expression as an equivalent simplified expression that contains no logarithms

Question

2^3 log2 k

 

 

e^-3 ln k

Answer 1

the first one equals 2^log₂k^3=k³

the second one equals k^-3

Answer 2

2^{3 log2 k} = (2^{log2 k})³ = k³

 

e^{-3ln k} = (e^{ln k})^-3 = k^-3 = 1/k³